Answers
Answer:
log(7) will be the correct answer.
Step-by-step explanation:
[tex]\text{\frac{14}{3}}+\text{log}(\frac{11}{5})-\text{log}(\frac{22}{15})[/tex]By using law of logarithm to solve the given expression,
1). [tex]\text{log}(m)+\text{log}(n)=\text{log(mn)}[/tex]
2). [tex]\text{log(m)}-\text{log(n)}=\text{log}(\frac{m}{n})[/tex]
By applying these rules, we can simplify the given expression,
[tex]\text{log}(\frac{14}{3})+\text{log}(\frac{11}{5})-\text{log}(\frac{22}{15})[/tex]
[tex]\text{log}(\frac{14}{3})+\text{log}(\frac{11}{5})-\text{log}(\frac{22}{15})=\text{log}(\frac{\frac{14}{3}\times \frac{11}{5}}{\frac{22}{15}})[/tex]
[tex]=\text{log}(\frac{\frac{154}{15}}{\frac{22}{15}})[/tex]
= [tex]\text{log}(\frac{154}{15}\times \frac{15}{22})[/tex]
= log(7)
Therefore, log(7) will be the correct answer.
Related Questions
Find the distance between the pair of points (2, 3) and (6, 8)
Answers
Answer: d=sqrt(41) =6.4031
Step-by-step explanation:
We know that the distance between the two points (x 1 ,y 1 ) and (x 2 ,y 2 ) is
d= sqrt((x2-x1)^2 +(y2-y1)^2 )
as given
x1=2 ,x2=6 ,y1=3 ,y2=8
d=sqrt((6-2)^2+(8-3)^2 )
d= sqrt((4)^2+(5)^2
d=sqrt(16+25)
d=sqrt(41) =6.4031
How many times greater is the value of 7 in 271,461 than the value of 7 in 927,645?
Answers
Answer:
3.42 times.
Step-by-step explanation:
We can simply see how many times greater the numbers are from one another.
927,645/271,461 = 3.41723120448 about 3.42 times.
PLEASE HELP!!! Needed ASAP!
Answers
If x3=125 and y3=8, what is the value of y−x
Answers
Answer:
X= 5
Y= 2
Y-X= 2-5= -3
HELP MEEE
Colin asked some of his classmates how many minutes they spent working on their math homework last night. He created a dot plot to show his results.
25
5 10 5 20
Amount of Time
(minutes)
What is the range of the data Colin collected?
05
0 20
o 25
11
Answers
Answer:
pretty sure its twenty
Step-by-step explanation:
you have to subtract the maximum from the minimum values
so 25-5=20
have a nice day!!!!!!!!
If ∠R and ∠S are supplementary angles and m∠R = 39°, find m∠S.
Answers
Answer: m∠S=141°
Step-by-step explanation:
Here, we need to know the definition of supplementary angles. Supplementary angles are two angles that add up to 180°. If you need a more detailed graphical explanation, please refer to the attachment below.
---------------------------------------------------------------------------------------------
Given
m∠R=39°
Solve
Given
m∠R + m∠S=180
Substitute value
39 + m∠S=180
Subtract 39 on both sides
39 + m∠S - 39=180 - 39
m∠S=141
Hope this helps!! :)
Please let me know if you have any questions.
Simplify fully
4x2 + 4x
2x² – 2
Answers
Answer:
4 × 2 = 8 + 4 = 12 × 2 = 24 - 2 = 22
22 is the FINAL answer
#carryonlearning
PLEASE HELPPP! I'LL GIVE BRAINLEST
Answers
Answer:
Thats easy C:
2 and 3 at the same time
Step-by-step explanation:
3x2=6 or if you dived 6/2=3
Also one thing when doing markup or profit(I think thats how you spell it if not im srry my spelling is very bad lol) you dived it
Have a good day :D
Solve the simultaneous equations
2x - 5y = 9
3x + 4y = 2
Answers
Answer:
(2, - 1 )
Step-by-step explanation:
Given the 2 equations
2x - 5y = 9 → (1)
3x + 4y = 2 → (2)
Multiplying (1) by 4 and (2) by 5 and adding the result will eliminate the y- term
8x - 20y = 36 → (3)
15x + 20y = 10 → (4)
Add (3) and (4) term by term to eliminate y
23x + 0 = 46
23x = 46 ( divide both sides by 23 )
x = 2
Substitute x = 2 into either of the 2 equations and solve for y
Substituting into (2)
3(2) + 4y = 2
6 + 4y = 2 ( subtract 6 from both sides )
4y = - 4 ( divide both sides by 4 )
y = - 1
solution is (2, - 1 )
If 5% of 100 is 5 and 10% of 100 is 10, what is 35% of 100? Explain your reasoning.
Answers
Answer:
35% of 100 is 35
Step-by-step explanation:
the first person who answered this did a good job at explaining it
Answer:
35% of 100 is 35
Step-by-step explanation:
so trying to get this right hope it helps :D
Malala is following this recipe for bread rolls.
She uses 400 g of flour.
How much of each of the other ingredients does she use?
Recipe: Makes 15 bread rolls
500 g flour
10 g salt
8 g yeast
30 mL oil
350 mL water
Answers
Answer:
Salt = 8 g
Yeast = 6.4 g
Oil =24 ml
Water = 280ml
Step-by-step explanation:
[tex]Salt = \frac{10}{500}*400 = 2*4 = 8[/tex]
[tex]yeast =\frac{8}{500}*400= \frac{32}{5}=6.4[/tex]
[tex]Oil =\frac{30}{500}*400=6*4=24 ml[/tex]
[tex]Water = \frac{350}{500}*400=70*4=280 ml[/tex]
Please help..
You buy certain supplies in Nearland. Last year, the currency exchange rate was 1 USD = 3 NRD. Are these supplies more or less expensive to buy now than last year? Explain your answer in complete sentences
Techtopia
(Techtopian dollar, or TPA) 1 USD = 1 TPA
Crosswater
(Crosswatering dollar, or CSW) 1 USD = 20 CSW
Nearland
(Nearlandian dollar, or NRD) 1 USD = 5 NRD
Answers
9514 1404 393
Answer:
less expensive
Step-by-step explanation:
If we assume the supplies in Nearland have a constant price of 15 NRD, then the cost in USD last year was ...
(15 NRD)/(3 NRD/(1 USD)) = 5 USD
This year, the cost is ...
(15 NRD)/(5 NRD/(1 USD)) = 3 USD
The cost in terms of USD has gone down.
__
Additional comments
Usually, exchange rates and local prices are related. If the supplies are produced in the US and sold in Nearland, the producer may want to maintain their pricing in terms of USD. That is, a supply that cost 1 USD last year would have been priced at 3 NRD last year. This year, the same supply, for the same 1 USD cost would be priced at 5 NRD. In Nearland, the supplies are more expensive than they were.
The real answer is, "it depends".
Lincoln has a coin collection. He keeps 3 of the coins in his box, which is 5% of the collection. How many total coins are in his collection?
Answers
Answer:
3 times 20 equals 60
Step-by-step explanation:
Answer:
60
Step-by-step explanation:
is/of = %/100
'x' = # coins
3/x = 5/100
cross-multiply
5x = 300
x = 60
Helppppp I have until 11:30 and it’s 10:36
Answers
Answer:
911
Step-by-step explanation:
Now you can get help
PLS HELP ME WITH THIS ITS LIKE DUE IN A FEW HOURS
“you’re friend finds the area of the triangle”
(image above)
“is you’re friend correct”,
EXPLAIN YOU’RE REASON!!!
PLEASE
Answers
Answer:
yes
Step-by-step explanation:
Area is 1.2 base * height
the base is 10 and the height is 12
120/2= 60
In ΔNOP, p = 240 cm, n = 270 cm and ∠O=22°. Find the area of ΔNOP, to the nearest square centimeter.
Answers
Answer:
Area≈12137.254≈12137
Step-by-step explanation:
Delta math
A company has recently been hiring new employees. Today the company has 33% more employees than it did a year ago. If there are currently 39,900employees, how many employees did the company have a year ago?
Answers
Answer:
33% of 39900=13,167
39900-13167=26733
Pay the bill using the fewest possible bills/coins
Answers
Answers:
Open the pdf below and youll find what you need. also do the largest bills you can.
What is the value of
5
5 units, as a fraction greater than
1
1?
Answers
which of the following is equivalent to 19L
Answers
Answer:
There are no options to pick
Answer:
19 L= 19000 mL
hope this helps
have a good day :)
Step-by-step explanation:
A stainless steel patio heater is a square pyramid. The length of one side of the base is 24.8 in. The slant height of the pyramid is 89.3 in. What is the height of the pyramid?
Answers
Answer:
The height is 88.434in
Step-by-step explanation:
3 2/6+8 2/9-1 1/2 ?????????
Answers
Answer:
10 1/18
Step-by-step explanation:
3 2/6 + 8 2/9 - 1 1/2 = ?
First, we need to find the common denominator, which I will choose to be 18, which means I will need to convert all the fractions.
3 6/18 + 8 4/18 - 1 9/18 = ?
Now, we solve.
3 6/18 + 8 4/18 - 1 9/18 = 10 1/18
Angie is creating a stained glass windowpane that will be 5 inches by 6 inches. To make the
rectangular windowpane, Angie fuses together two triangles of colored glass. What is the
perimeter of one triangle? If necessary, round to the nearest tenth.
inches
Answers
Answer:
The perimeter of a triangle is equal to 18.81 inches.
Step-by-step explanation:
Since Angie is creating a stained glass windowpane that will be 5 inches by 6 inches, and to make the rectangular windowpane, she fuses together two triangles of colored glass, to determine what is the perimeter of one triangle the following calculation must be performed, taking into account that the Pythagorean theorem must be applied:
5 ^ 2 + 6 ^ 2 = X ^ 2
25 + 36 = X ^ 2
√61 = X
7.81 = X
5 + 6 + 7.81 = X
11 + 7.81 = X
18.81 = X
Therefore, the perimeter of a triangle is equal to 18.81 inches.
Does this line represent a positive or negative slope?
How do you know?
only answer if you really know the answer !
Answers
Answer:
positive it is moving to the positive side of the graph
A culture of 3,000 bacteria quadruples in number every 10 hours. Plt) represents the
population of the bacteria after thours. Which equation best models the growth of
the bacteria?
Answers
Answer:
P(t) = 3000 * 4^(t/10)
Step-by-step explanation:
There is more than one way to get an exponential function out of the information given. The way the question is worded, however, seems to suggest the following type of answer:
One general form of the exponential function is y = a·bx, where a is the initial value, and b is the growth or decay factor. So right away we can say that a = 2300.
Now for the growth factor. When something is increasing or decreasing by a certain percentage, we are adding or subtracting that percentage to the 100% (which is equal to 1) that exists currently. So here we're increasing by 11%, or 0.11. Then the growth factor b is (1 + 0.11), or 1.11.
If baseball were played on Mars, the balls would fly much farther than they
do on Earth. One could then speculate that the number of home runs hit
would be much greater on Mars. Mike expects that he would hit 50% more
home runs if he were playing baseball on Mars. If he hit 76 home runs on
Earth, how many home runs does he expect he would hit on Mars?
Answers
Answer: 114 homeruns on mars
Step-by-step explanation: 76 homeruns x 0.5 = 38
76+38 = 114
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answers
Answer:
<YXZ and <TUS
Step-by-step explanation:
An exterior angle is found outside the parallel line. When you have two exterior angles that are opposite each other along the transversal, they are referred to as alternate exterior angles.
Therefore, the only pair of angles from the given options that flare alternate exterior angles are:
<YXZ and <TUS
Great Grizzly Park sells adult tickets at price x and tickets for children 12 and under at price y. The total charge for 3 adults and 4 children is $235. The total charge for 4 adults and 5 children is $305. Which system of equations represents the charge for tickets?
Answers
Answer:
answer is J because if we lay out the information we will understand it
The system of equations represents the charge for tickets for this condition is given by: Option J: 3x + 4y= 235, 4x + 5y = 305
How to form mathematical expression from the given description?You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.
We're specified that:
x = price of one ticket for adults (in dollars)y = price of one ticket for children (in dollars)Total charge for 3 adults and 4 children = $235Total charge for 4 adults and 5 children = $305Total charge for 3 adults and 4 children = Ticket price for 3 adults + Ticket price for 4 children= [tex]x + x + x + y + y + y + y = 3x + 4y = 235[/tex] (in dollars)
(We don't write symbols like of currency generally, and understand it from context. Also, sign of multiplication is often hidden if there are non numeric symbols and numbers being multiplied are written together)
Similarly, we get:
Total charge for 4 adults and 5 children = Ticket price for 5 adults + Ticket price for 5 children= [tex]x + x + x + x + y + y + y + y + y = 4x + 5y = 305[/tex] (in dollars)
Thus, we got a system of equations in x and y as:
[tex]3x + 4y= 235\\4x + 5y = 305[/tex] (Option J)
Learn more about forming equations here:
https://brainly.com/question/11938672
Jericho takes 3 test in one month the number of correct answers and the total number of questions on each test are shown in the table list the test in order from the least percent of questions correct to the greatest percent of question
Test Correct answers Total questions
Science 36 40
History 23 25
Math 44 50
Answers
8. What is the surface area of a square pyramid that has a base of 5 cm and
triangle heights of 8 cm.*
Answers
Answer:
105cm squared
Step-by-step explanation:
I put my answer here before, but somehow it got deleted, so I'm typing it again.
A square-based pyramid is made up of one square and four triangles.
We know that one side of the square is 5cm. And since all four sides of the square are the same, we know that the base is 5 x 5.
5 x 5 = 25
Therefore, the area of the base is 25cm squared.
Now, we need to find the area of one triangle. To find the area of a triangle, we multiply the base by the height, then halve it. We know that base of the triangle is 5cm as it shares a side with the square. We also know that the height of the triangle is 8cm.
5 x 8 = 40
40 / 2 = 20
Therefore, the area of one triangle is 20cm squared.
But wait! There are 4 triangles, not just one. Which means we have to multiply the area of one triangle by 4.
4 x 20 = 80
Add everything together:
25 + 80 = 105
Therefore, the total surface area of the square-based pyramid is 105cm squared.